This paper aims at providing a small-volume expansion framework for the scattering resonances of an open cavity perturbed by small particles. The shift of the scattering resonances induced by the small particles is derived without neglecting the radiation effect. The formula holds for arbitrary-shaped particles. It shows a strong enhancement in the scattering resonance shift in the case of subwavelength particles with dipole resonances. The formula is used to image small particles located near the boundary of an open resonator which admits whispering-gallery modes. Numerical examples of interest for applications are presented.

中文翻译：

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小颗粒对开放腔的散射共振的干扰。第一部分：横向磁极化情况

本文旨在为小颗粒扰动的开孔的散射共振提供小体积的扩展框架。在不忽略辐射效应的情况下，可以得出由小颗粒引起的散射共振的位移。该公式适用于任意形状的颗粒。在具有偶极子共振的亚波长粒子的情况下，它显示出散射共振位移的强烈增强。该公式用于对位于开放式谐振器边界附近的小颗粒成像，该谐振器允许窃听画廊模式。给出了应用感兴趣的数值示例。